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September 17, 2014

September 17, 2014

Posted by **Matt** on Tuesday, May 13, 2014 at 10:29pm.

- Algebra II -
**Devron**, Tuesday, May 13, 2014 at 10:51pmTwo equations:

1.) Amadeus

760miles=R1*T1

2.) Salieri

220miles=R2*T2

Let R1=R2+40

and

Let T1=2*T2

Substitute into equations and solve:

760miles=(R2+40)*(2*T2)

Solving for T2:

380 miles/(R2+40)=T2

Plug into equation 2 and solve for R2:

220 miles=R2*[380 miles/(R2+40)]

220 miles*R2+8,800 miles=R2*380 miles

160 miles*R2=8,800 miles

R2=55 miles/hr

Solve for other variables using the two equations or the T and R equations:

=================================

R1=R2+40=55+40=95 miles/hr

T2=220 miles/R2=R=220 miles/55=4 Hr

T1=2*T2=2*(4)=8 Hr

R2=55 miles/hr

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